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Finding the Third Proportional to 352,054.50 and 760,227

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Solution

The third proportional to 352,054.50 and 760,227 is: 1,641,635.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,054.50 : 760,227 = 760,227 : x
  2. Step 2: Convert to fraction form
    352,054.50/760,227 = 760,227/x
  3. Step 3: Cross multiply
    352,054.50x = 760,227 × 760,227
  4. Step 4: Simplify right side
    352,054.50x = 577,945,091,529
  5. Step 5: Solve for x
    x = 577,945,091,529/352,054.50
  6. Step 6: Final answer
    x = 1,641,635.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.